Consider a moring body with a velocity vct) Satisfying dv = KV dt a where K is a constant

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Consider a moring body with a velocity vct)
Satisfying
dv = KV
dt
3
a
where K is a constant.
a) suppose that VCO) = Vo Determine the velocity.
function vet)
b) suppose that X(O) = Xo where X (t) is the distance
travelled by the object. Determine the function X(t)
and discuss the behavior of x(t) as t → ∞0
Transcribed Image Text:Consider a moring body with a velocity vct) Satisfying dv = KV dt 3 a where K is a constant. a) suppose that VCO) = Vo Determine the velocity. function vet) b) suppose that X(O) = Xo where X (t) is the distance travelled by the object. Determine the function X(t) and discuss the behavior of x(t) as t → ∞0
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